I realize it's about personal preference, largely, and aesthetics, but what leather material do you feel is best for a wallet?
More specifically, why is bridle hide so revered?
I guess that largely depends on what you want and what the wallet should look like. Shell cordovan and boxcalf leather works out really well wheras bridle leather is really durable. Most of all the craftsmanship employed outweighs the importance of the leather although it is mostly a matter of price to find the perfect combination of both. Good leather will make your wallet beautiful for a longer time, but good craftsmanship is important that the substance is well made. If the edges and the stitching is not symmetric and solidly made even the most beautiful leather loses its appeal.